Question
In: Math
A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are...
A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below.
p=400-.05x and C(x)=20,000 + 135x
A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? The company should produce ? phones each week at a price of $ ?. (Round to the nearest cent as needed.) The maximum weekly revenue is $ ? (Round to the nearest cent as needed.)
(B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit? The company should produce ? phones each week at a price of $ ?. (Round to the nearest cent as needed.) The maximum weekly profit is $ ?. (Round to the nearest cent as needed.)
Solutions
milcah answered 2 years agoRelated Solutions
A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are...
A company manufactures and sells x cellphones per week. The
weekly price-demand and cost equations are given below.
p = 500-0.5x and C(x)=15,000+135x
What price should the company charge for the phones, and how
many phones should be produced to maximize the weekly revenue?
What is the maximum weekly revenue?
(B) What price should the company charge for the phones, and
how many phones should be produced to maximize the weekly profit?
What is the maximum weekly profit?
3) A company manufactures and sells x cellphones per week. The weekly cost and price-demand equations...
3) A company manufactures and sells x cellphones per week. The
weekly cost and price-demand equations are
Cx=5,000+84x
p(x)=300-0.2x
a) What price should the company
charge for the phones, and how many phones should be produced to
maximize weekly revenue? What is the maximum revenue?
b) What is the maximum weekly profit?
How much should the company charge for the phones, and how many
phones should be produced to realize the maximum weekly profit?
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations...
A company manufactures and sells x television sets per month.
The monthly cost and price-demand equations are C(x)equals72
comma 000 plus 70 x and p left parenthesis x right parenthesis
equals 300 minus StartFraction x Over 20 EndFraction , 0less than
or equalsxless than or equals6000. (A) Find the maximum revenue.
(B) Find the maximum profit, the production level that will
realize the maximum profit, and the price the company should
charge for each television set. (C) If the government...
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations...
A company manufactures and sells x television sets per month.
The monthly cost and price-demand equations are
C(x)=75000+50x and p(x)=300-x/30, 0 ≤ x ≤ 9000
(A) Find the maximum revenue.
(B) Find the maximum profit, the production level that will
realize the maximum profit, and the price the company should
charge for each television set.
(C) If the government decides to tax the company $5 for each
set it produces, how many sets should the company manufacture each
month to...
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations...
A company manufactures and sells x television sets per month.
The monthly cost and price-demand equations are C(x)=75,000+40x
and p(x)= 300-x/30 , 0 less than or equal to x less than or equal
to 9000.
(A) Find the maximum revenue.
(B) Find the maximum profit, the production level that will
realize the maximum profit, and the price the company should
charge for each television set.
(C) If the government decides to tax the company $6 for each
set...
A sugar refinery can produce x tons of sugar per week at a weekly cost of...
A sugar refinery can produce x tons of sugar per week at a
weekly cost of
0.1x^2 +9x+1210
dollars. Find the level of production for which the average cost
is at a minimum and determine the average cost and marginal cost at
that level of production.
An office supply company manufactures and sells X permanent markers per year at a price of...
An office supply company manufactures and sells X permanent
markers per year at a price of P €/unit. The Price/Demand equation
for the markers is: ? = 5 − 0.001?
1. Write the Revenues function (10%)
2. What level of production and what price should the
company charge for the markers to maximize revenues?
The total cost of manufacturing is: ?(?) = 3000 + 2?
Write the Company’s Profit function
What level of production and what price should the company
charge for...
A company manufactures and sells x television sets per month. The monthly cost equation is?(?)=??,???+???and the...
A company manufactures and sells x television sets per month.
The monthly cost equation is?(?)=??,???+???and the monthly
demand−price equation is ?=???−???Use thisinformation to
answerquestions below.
1.a.What is the maximum monthly revenue?
b.What price should the company charge for each television
set?
2.a.How many television sets should be produced to realize the
maximum monthly profit?
b.What is the maximum monthly profit
4) A company manufactures and sells x lime scooters sets per month. The monthly cost and...
4) A company manufactures and sells x lime scooters sets per
month. The monthly cost and price-demand equations are
Cx=16,000+75x
p(x)=200-x/30 0≤x≤3,000
a) Find the maximum monthly
revenue.
b) Find the maximum profit, the
production level that will realize the maximum profit, and the
price the company should charge for each scooter.
c) If the local government decides to subsidize the company $5
for each scooter it produces, how many scooters should the company
manufacture each month to maximize its...
ABC Inc. manufactures and sells toys. Price and cost data are as follows: Selling price per...
ABC Inc. manufactures and sells toys.
Price and cost data are as follows:
Selling price per unit (package of 2
CDs)......................................
$20.00
Variable costs per unit:
Direct
material...............................................................................................................
$4.00
Direct
labor......................................................................................................................
$5.00
Artist's
royalties..............................................................................................................
$3.50
Manufacturing
overhead..........................................................................................
$3.00
Selling
expenses............................................................................................................
$1.00
Total variable costs per
unit............................................................
$16.50
Annual fixed costs:
Manufacturing
overhead..........................................................................................
$180,000
Selling and
administrative.......................................................................................
$220,000
Total fixed
costs................................................................................
$400,000
Forecasted annual sales volume (120,000
units).........................
$2,400,000
If the company's direct-labor costs do increase by 8%,
what selling price...
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